erweitern ((3b+2a)^2)/(6ab)

Lösung

erweitern

\frac{( 3 b + 2 a ) ^{2}}{6 ab}

\frac{3 b}{2 a} + 2 + \frac{2 a}{3 b}

Schritte zur Lösung

\frac{( 3 b + 2 a ) ^{2}}{6 ab}

(3 b + 2 a)^{2} = 9 b^{2} + 12 ba + 4 a^{2}

= \frac{9 b ^{2} + 12 ba + 4 a ^{2}}{6 ba}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{9 b ^{2} + 12 ba + 4 a ^{2}}{6 ab} = \frac{9 b ^{2}}{6 ab} + \frac{12 ba}{6 ab} + \frac{4 a ^{2}}{6 ab}

= \frac{9 b ^{2}}{6 ba} + \frac{12 ba}{6 ba} + \frac{4 a ^{2}}{6 ba}

Streiche

\frac{9 b ^{2}}{6 ab} : \frac{3 b}{2 a}

= \frac{3 b}{2 a} + \frac{12 ba}{6 ba} + \frac{4 a ^{2}}{6 ba}

Streiche

\frac{12 ba}{6 ab} : 2

= \frac{3 b}{2 a} + 2 + \frac{4 a ^{2}}{6 ba}

Streiche

\frac{4 a ^{2}}{6 ab} : \frac{2 a}{3 b}

= \frac{3 b}{2 a} + 2 + \frac{2 a}{3 b}

e x p an d \frac{3 ( y + 1 ) ^{2}}{2}

e x p an d (y - x) e^{\frac{y}{x} + 1}

e x p an d \frac{4}{( x + 8 ) ^{2}}

e x p an d \frac{e ^{- 5 s}}{( - 4 + s ) s}

e x p an d Lu (t - 1)